Math 647: Theory of Partial Differential Equations 1

Catalog Information

Title

Theory of Partial Differential Equations 1.

Credit Hours

3

Prerequisite

Math 541, 547. It is proposed that Math 547 be dropped as a prerequisite, as these courses have always operated independently of each other.

Desired Learning Outcomes

Minimal learning outcomes

1. Foundational theory for canonical linear PDEs
   • Transport equation
   • Laplace's equation
   • Heat equation
   • Wave equation

Textbooks

Possible textbooks for this course include (but are not limited to):

• Lawrence C. Evans, Partial Differential Equations (Second Edition), American Mathematical Society, 2010.